TY  - JOUR
T1  - Half inverse problems for the impulsive singular diffusion operator
AU  - Ergün, Abdullah
AU  - Amirov, Rauf
PY  - 2020
DA  - December
JF  - Turkish Journal of Science
JO  - TJOS
PB  - Ahmet Ocak AKDEMİR
WT  - DergiPark
SN  - 2587-0971
SP  - 186
EP  - 198
VL  - 5
IS  - 3
LA  - en
AB  - In this paper, we consider the inverse spectral problem for the impulsiveSturm-Liouville differential pencils on $\left[  0,\pi\right]  $ with theRobin boundary conditions and the jump conditions at the point $\dfrac{\pi}%{2}$. We prove that two potentials functious on the whole interval and theparameters in the boundary and jump conditions can be determined from a set ofeigenvalues for two cases: (i) The potentials is given on $\left(0,\dfrac{\pi}{4}\left( \alpha+\beta \right)  \right)  .$ (ii) The potentials isgiven on $\left( \alpha+\beta, \dfrac{\alpha+\beta}{2}  \right)  $, where$0
KW  - Inverse spectral problems
KW  - Sturm-Liouville Operator
KW  - spectrum
KW  - uniqueness
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UR  - https://dergipark.org.tr/en/pub/tjos/issue//832057
L1  - https://dergipark.org.tr/en/download/article-file/1417613
ER  -